| 3 | x | + | 4 | ( | 1 | − | x | ) | = | 103 100 | ( | 3 | x | + | 2 | ( | 1 | − | x | ) | ) |
| 方程左边 = | 3 | x | + | 4 | × | 1 | − | 4 | x |
| = | 3 | x | + | 4 | − | 4 | x |
| = | - | 1 | x | + | 4 |
| - | 1 | x | + | 4 | = | 103 100 | ( | 3 | x | + | 2 | ( | 1 | − | x | ) | ) |
| 方程右边 = | 103 100 | × | 3 | x | + | 103 100 | × | 2 | ( | 1 | − | x | ) |
| = | 309 100 | x | + | 103 50 | ( | 1 | − | x | ) |
| = | 309 100 | x | + | 103 50 | × | 1 | − | 103 50 | x |
| = | 309 100 | x | + | 103 50 | − | 103 50 | x |
| = | 103 100 | x | + | 103 50 |
| - | 1 | x | + | 4 | = | 103 100 | x | + | 103 50 |
| - | 1 | x | − | 103 100 | x | = | 103 50 | − | 4 |
| - | 203 100 | x | = | 103 50 | − | 4 |
| - | 203 100 | x | = | - | 97 50 |
97 50 | = | 203 100 | x |
203 100 | x | = | 97 50 |
| x | = | 97 50 | ÷ | 203 100 |
| = | 97 50 | × | 100 203 |
| = | 97 | × | 2 203 |
| x | = | 194 203 |
| x | = | 0.955665 |